Solve 9/2xdiv5=6div7

$$\frac{ 9 }{ 2 } x \div 5=6 \div 7$$

Solve for x

$$x=\frac{20}{21}\approx 0.952380952$$

Steps for Solving Linear Equation

Multiply both sides by 5.

$$\frac{9}{2}x=\frac{6}{7}\times 5$$

Express \frac{6}{7}\times 5 as a single fraction.

$$\frac{9}{2}x=\frac{6\times 5}{7}$$

Multiply 6 and 5 to get 30.

$$\frac{9}{2}x=\frac{30}{7}$$

Multiply both sides by \frac{2}{9}, the reciprocal of \frac{9}{2}.

$$x=\frac{30}{7}\times \frac{2}{9}$$

Multiply \frac{30}{7} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{30\times 2}{7\times 9}$$

Do the multiplications in the fraction \frac{30\times 2}{7\times 9}.

$$x=\frac{60}{63}$$

Reduce the fraction \frac{60}{63} to lowest terms by extracting and canceling out 3.

$$x=\frac{20}{21}$$